11468520 has 256 divisors, whose sum is σ = 45964800. Its totient is φ = 2488320.

The previous prime is 11468507. The next prime is 11468531. The reversal of 11468520 is 2586411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279700 + ... + 279740.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^11468520 is an apocalyptic number.

11468520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11468520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

11468520 is an abundant number, since it is smaller than the sum of its proper divisors (34496280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11468520 is a wasteful number, since it uses less digits than its factorization.

11468520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11468520 is about 3386.5203380461. The cubic root of 11468520 is about 225.5117241771.

The spelling of 11468520 in words is "eleven million, four hundred sixty-eight thousand, five hundred twenty".